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Finding the Third Proportional to 269,694 and 591,228

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Solution

The third proportional to 269,694 and 591,228 is: 1,296,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,694 : 591,228 = 591,228 : x
  2. Step 2: Convert to fraction form
    269,694/591,228 = 591,228/x
  3. Step 3: Cross multiply
    269,694x = 591,228 × 591,228
  4. Step 4: Simplify right side
    269,694x = 349,550,547,984
  5. Step 5: Solve for x
    x = 349,550,547,984/269,694
  6. Step 6: Final answer
    x = 1,296,100.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.